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U ~ Uniform(0,1)

$$Z_\lambda = \frac{U^\lambda-{(1-U)}^\lambda}{\lambda} $$

I have to find the first four moments and two ($\lambda_1,\lambda_2$) such that they have the same four moments.

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  • $\begingroup$ What are $\lambda_1$ and $\lambda_2$? $\endgroup$ – wolfies Apr 16 '16 at 17:23
  • $\begingroup$ The odd moments are zero. What are you going to do with the first 4 moments? And what are the constraints on parameter $\lambda$? $\endgroup$ – wolfies Apr 16 '16 at 17:27
  • $\begingroup$ I have the same question is on Introduction to the Theory of Statistic _Mood Graybill and Boes_1974 chapter III question 30 I appreciate some help. $\endgroup$ – Luis M Martin Alvarez Apr 18 at 17:39

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